KFU. Card publication. Similarity of Cosmological Models and its Application to the Analysis of Cosmological Evolution

KAZAN
FEDERAL UNIVERSITY

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SIMILARITY OF COSMOLOGICAL MODELS AND ITS APPLICATION TO THE ANALYSIS OF COSMOLOGICAL EVOLUTION

Form of presentation

Articles in international journals and collections

Year of publication

2024

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Authors, employees of KFU

Ignatev Yuriy Gennadievich, author

Bibliographic description in the original language

Yu. G. Ignat'ev, Similarity of Cosmological Models and its Application to the Analysis of Cosmological Evolution \\ Theoretical and Mathematical Physics, 219(1): 688–703 (2024)

Annotation

Scale transformations of cosmological models based on a statistical system of degenerate fermions with a scalar Higgs interaction are studied. The similarity properties of cosmological models under scale trans formations of their fundamental parameters are revealed. The transformation laws for the coordinates of singular points and eigenvalues of the characteristic matrix of the dynamical system of the cosmolog ical model under its scale transformations are established. With the help of the transformation to new variables, the previously studied dynamical system of scalar-charged fermions is modified to a dynamical system with a nondegenerate characteristic matrix; for its nondegenerate branch, the singular points and eigenvalues of the characteristic matrix are found, which coincide with the corresponding values for the vacuum field model. Examples of numerical simulation of such cosmological models are given

Keywords

scalar-charged plasma, cosmological model, Higgs scalar field, similarity transformation,qualitative analysis

The name of the journal

THEORETICAL AND MATHEMATICAL PHYSICS

URL

https://trebuchet.public.springernature.app/get_content/1a1bb86f-6982-4d04-8848-9de806ec679b?utm_source=rct_congratemailt&utm_medium=email&utm_campaign=nonoa_20240426&utm_content=10.1134/S0040577924040123

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=298920&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Ignatev Yuriy Gennadievich	ru_RU
dc.date.accessioned	2024-01-01T00:00:00Z	ru_RU
dc.date.available	2024-01-01T00:00:00Z	ru_RU
dc.date.issued	2024	ru_RU
dc.identifier.citation	Yu. G. Ignat'ev, Similarity of Cosmological Models and its Application to the Analysis of Cosmological Evolution \\ Theoretical and Mathematical Physics, 219(1): 688–703 (2024)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=298920&p_lang=2	ru_RU
dc.description.abstract	THEORETICAL AND MATHEMATICAL PHYSICS	ru_RU
dc.description.abstract	Scale transformations of cosmological models based on a statistical system of degenerate fermions with a scalar Higgs interaction are studied. The similarity properties of cosmological models under scale trans formations of their fundamental parameters are revealed. The transformation laws for the coordinates of singular points and eigenvalues of the characteristic matrix of the dynamical system of the cosmolog ical model under its scale transformations are established. With the help of the transformation to new variables, the previously studied dynamical system of scalar-charged fermions is modified to a dynamical system with a nondegenerate characteristic matrix; for its nondegenerate branch, the singular points and eigenvalues of the characteristic matrix are found, which coincide with the corresponding values for the vacuum field model. Examples of numerical simulation of such cosmological models are given	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	scalar-charged plasma	ru_RU
dc.subject	cosmological model	ru_RU
dc.subject	Higgs scalar field	ru_RU
dc.subject	similarity transformation	ru_RU
dc.subject	qualitative analysis	ru_RU
dc.title	Similarity of Cosmological Models and its Application to the Analysis of Cosmological Evolution	ru_RU
dc.type	Articles in international journals and collections	ru_RU